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Finding the Fourth Proportional to 575.52, 859.38 and 452.40

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Solution

The fourth proportional to 575.52, 859.38 and 452.40 is: 675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.52 : 859.38 = 452.40 : x
  2. Step 2: Convert to fraction form
    575.52/859.38 = 452.40/x
  3. Step 3: Cross multiply
    575.52x = 859.38 × 452.40
  4. Step 4: Simplify right side
    575.52x = 388,783.51
  5. Step 5: Solve for x
    x = 388,783.51/575.52
  6. Step 6: Final answer
    x = 675.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.